The exponent of the product a-m nbsp- x a- n is -m-nmnm-nm-n

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Product Rule of Exponents

The exponent ...

Question

The exponent of the product a^m x a^ n is ___.

m+n

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m-n

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m/n

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Solution

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Question 159(ii)

Using law of exponents, $a^{m} \times a^{n} = a^{m + n}$ [ $∵$ a is non-zero integer]

(\frac{a^{m}}{a^{- n}})^{m - n} \times (\frac{a^{n}}{a^{- 1}})^{n - 1} \times (\frac{a^{1}}{a^{- m}})^{1 - m} =

{(\frac{a^{m}}{a^{- n}})}^{m - n} \times {(\frac{a^{n}}{a^{- 1}})}^{n - 1} \times {(\frac{a^{1}}{a^{- m}})}^{1 - m}

Express the following in exponent:

$m \times m \times m \times n \times n$

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